The side plot involves House being seduced by a 17 year old stalker. Repeatedly through the episode it is mentioned that she is under aged. However, the age of consent in New Jersey is 16. The character herself indicates that the age of consent in Iceland is 14 to try and convince House that it would be OK to have sex with her, it's odd that she would know the age of consent in Iceland but not the state she lives in.
Calcium carbonate is occasionally used as an anti-diarrhoeal (as indicated by House while discussing the case with Foreman in Cuddy's office). However, he later defends its use in Adam by reasoning that he had constipation.